After I ventured to fly Lufthansa first class starting in Saint Petersburg - an adventure that I'd not recommend to anyone - I found that such attractive fares are sometimes also available from Europe. This makes positioning (flying to the departure city for a low fare) much easier. One of the easiest cities in Europe to position to is Milan: a hub that is well connected by both legacy and low cost carriers.
Swiss is currently offering very attractive business class and first class fares from Milan (Malpensa airport). A return ticket in business class to Singapore starts at 1,070 euro. A first class return ticket to Bangkok starts at 2,130 euro. Don't forget to book a longer stopover at Zurich (or Munich or Frankfurt) in order to enjoy the first class lounges, which are amazing.
An incomplete overview of the fares can be found here (first class) and here (business class). The above promotion fares aren't displayed in this overview - so there may be other destinations out there as well. Remember to choose a frequent flyer program before flying - you can earn up to 300% of the miles flown as both status and reward miles. You can read a short review of Lufthansa first class here.